Batalin-Vilkovisky formality for Chern-Simons theory

Ezra Getzler*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We prove that the differential graded Lie algebra of functionals associated to the Chern-Simons theory of a semisimple Lie algebra is homotopy abelian. For a general field theory, we show that the variational complex in the Batalin-Vilkovisky formalism is a differential graded Lie algebra.

Original languageEnglish (US)
Article number105
JournalJournal of High Energy Physics
Issue number12
StatePublished - Dec 2021


  • BRST Quantization
  • Chern-Simons Theories
  • Topological Field Theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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